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Simplifying -2m + -5 + -2(m + -2) = 5m + -1(3m + -6) + -8m + 5 Reorder the terms: -2m + -5 + -2(-2 + m) = 5m + -1(3m + -6) + -8m + 5 -2m + -5 + (-2 * -2 + m * -2) = 5m + -1(3m + -6) + -8m + 5 -2m + -5 + (4 + -2m) = 5m + -1(3m + -6) + -8m + 5 Reorder the terms: -5 + 4 + -2m + -2m = 5m + -1(3m + -6) + -8m + 5 Combine like terms: -5 + 4 = -1 -1 + -2m + -2m = 5m + -1(3m + -6) + -8m + 5 Combine like terms: -2m + -2m = -4m -1 + -4m = 5m + -1(3m + -6) + -8m + 5 Reorder the terms: -1 + -4m = 5m + -1(-6 + 3m) + -8m + 5 -1 + -4m = 5m + (-6 * -1 + 3m * -1) + -8m + 5 -1 + -4m = 5m + (6 + -3m) + -8m + 5 Reorder the terms: -1 + -4m = 6 + 5 + 5m + -3m + -8m Combine like terms: 6 + 5 = 11 -1 + -4m = 11 + 5m + -3m + -8m Combine like terms: 5m + -3m = 2m -1 + -4m = 11 + 2m + -8m Combine like terms: 2m + -8m = -6m -1 + -4m = 11 + -6m Solving -1 + -4m = 11 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -1 + -4m + 6m = 11 + -6m + 6m Combine like terms: -4m + 6m = 2m -1 + 2m = 11 + -6m + 6m Combine like terms: -6m + 6m = 0 -1 + 2m = 11 + 0 -1 + 2m = 11 Add '1' to each side of the equation. -1 + 1 + 2m = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 11 + 1 2m = 11 + 1 Combine like terms: 11 + 1 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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